The Queen of England
Queen Elizabeth II
If Angle *theta* is 15 and Opposite Side is 10, how would you find the Hypotenuse Length?
By using 10*csc(15) since csc(15) = 1/sin or Hypotenuse/Opposite
cot θ as a trigonometric ratio
cos θ / sin θ
Reciprocal is
The reverse of trigonometric ratios
Sine Law Needs
A side/angle pair and one side or angle
Why are the keys on a keyboard not Alphabetical?
So that people don't type very fast and memorize the locations of the keys (clearly not working)
What are different aspects of trigonometry and math that can help you solve for a side or angle in a triangle?
Sine Law, Cosine Law, Pythagorean Theorum, Trigonometric Ratios, Triangle Angles=180*
Equation for csc^2 (θ)
1 + cot^2 (θ)
Cosecante (csc) = 1 / ?
csc = 1 / sin
Cosine Law Needs
Two Sides and an Angle in between
Which American president served four consequtive years?
Franklin D. Roosevelt
Free Pass
You can have these points free, there's one more *somewhere* on the board
sin^2 + cos^2 = ?
sin^2 + cos^2 = 1
tan 45 = 1
Sine Law is Interchangeable between finding angles and sides
True.
What planet has the most gravity?
Jupiter
Free Pass
There another one *somewhere* on the board, only one other though
Sine Formula is ...
a / Sin A = b / Sin B = c / Sin C
or the inverse
Principal Angle is the Angle...
that goes counterclockwise from zero until the terminal arm
True or False Sine & Cosine Law can be used in the same triangle
True
What is the longest word in English?
PNEUMONOULTRAMICROSCOPICSILICOVOLCANOCONIOSIS which is a lung disease
How would you prove that tan = sin / cos
Seperate the left from the right side, breakdown each trig ratio into their respective ratios (e.g y/r) and cancel out like variables and simplify
Cosine Law Formula
a^2 + b^2 - 2(a)(b)*cos(C) = c
Related Acute Angle is the ....
Angle between terminal arm and x-axis in quadrants 2,3&4
For 3D Problems, how would you go about solving it?
Break it down into seperate triangles, determine what information you have and what information you need and then slowly solve for the variable you need